{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A graphical example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "import utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x_0</th>\n",
       "      <th>x_1</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>4</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>7</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>8</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>9</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    x_0  x_1  y\n",
       "0     7    1  0\n",
       "1     3    2  0\n",
       "2     2    3  0\n",
       "3     1    5  0\n",
       "4     2    6  0\n",
       "5     4    7  0\n",
       "6     1    9  1\n",
       "7     8   10  1\n",
       "8     6    5  1\n",
       "9     7    8  1\n",
       "10    8    4  1\n",
       "11    9    6  1"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset = pd.DataFrame({\n",
    "    'x_0':[7,3,2,1,2,4,1,8,6,7,8,9],\n",
    "    'x_1':[1,2,3,5,6,7,9,10,5,8,4,6],\n",
    "    'y': [0,0,0,0,0,0,1,1,1,1,1,1]})\n",
    "\n",
    "dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZpXOSzi1413RUc4HeKT4l6VRE/LjqQiR9QtJkRExHxNuSnpT08YprUkQcioi7I+IezS37lrb+LRHgpSn+YHhI0kREfKXqeiTJ9ibbtxefr9XcL/krVdYUEX8eEVsjYpvm3n7/S0RU2ilJku31xR+fVSxT/Lrm3gJXJiIuSPqR7R3Fpj2SKvuj+HX8jjpg+aTwmqSP2l5X/Fvco7m/Q1XK9geLj78g6TMq+eeVciq97SOS7pW00fY5SX8VEYeqrUq7JX1O0kvFmrMk/UVEfKfCmvoljRZnCrxP0jcjomNO2+swH5L07bl/+1oj6R8j4ulqS5IkfUHS48VyxRlJv1dxPZKkYk33fkl/UHUtkhQRJ2wflXRKc8sUz6szLqs/ZvsDkt6W9PmIuFjmzlOeRggAYAkFANIiwAEgKQIcAJIiwAEgKQIcAJIiwAEgKQIcAJL6f9HNDW+SBf/aAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "features = dataset[['x_0', 'x_1']]\n",
    "labels = dataset['y']\n",
    "\n",
    "utils.plot_points(features, labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Building a decision tree using Gini index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decision_tree = DecisionTreeClassifier()\n",
    "decision_tree.fit(features, labels)\n",
    "decision_tree.score(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luisserrano/anaconda3/lib/python3.7/site-packages/sklearn/externals/six.py:31: FutureWarning: The module is deprecated in version 0.21 and will be removed in version 0.23 since we've dropped support for Python 2.7. Please rely on the official version of six (https://pypi.org/project/six/).\n",
      "  \"(https://pypi.org/project/six/).\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(decision_tree)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAD4CAYAAAD1jb0+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAPuElEQVR4nO3df2zc9X3H8dfLZ0riQIvTpDQQtMBUwQwSpLpttGxRCVTqD9p0G9KYBGEMFHXaOmq1ikKlddJUbSjqIKRaqVJDmwZUtAWWQEMZVSiOqm2oCaCVxExlwMDgLPEwP0oYOPi9P+6cxY4vNneX+3w/d8+HdLLv66/9fesr+6W3v/f93NsRIQBAfrpSFwAAqA8BDgCZIsABIFMEOABkigAHgEx1t/Jgp522KM44Y1krDwkA2Rsa2jMaEYunb29pgJ9xxjJt2bK7lYcEgOyVy/6vmbZzCQUAMkWAA0CmCHAAyBQBDgCZIsABIFMEOABkigAHgEwR4ACQKQIcADJFgAPIwujoiFZdeZ5GR/enLqUwCHAAWRjYsl4vv3ZAA1vWpy6lMGYNcNt32j5g+6mjti20/RPbv6x+7D2xZQLoZKOjI3pgx2bFzp16YMdmuvCquXTg35f0qWnb1knaGREfkbSz+hwAToiBLes1sfpaaflyTaxeTRdeNWuAR8QuSa9M27xK0ubq55slfaHJdQGApP/vvsfXrZUkja9bSxdeVe818NMjYkSSqh8/VGtH22ts77a9e2zsYJ2HA9CpjnTfS5ZUNixZQhdedcJfxIyITRFRjohyb+8x70cOADVN774n0YVX1Bvg/217iSRVPx5oXkkAUHFM9z2JLlxS/QF+v6Rrq59fK2l7c8oBgIpa3fckuvC53Ub4Q0n/Kulc28O2r5d0s6RP2v6lpE9WnwNA09TsvifRhcsR0bKD9fWVg5mYAObi0184RweHn5t1v8VLz9aPtz3bgorSKZe9JyLK07e3dKgxAMxVu4dyM7CUHgAyRYADQKYIcADIFAEOAJkiwAEgUwQ4AGSKAAeATBHgAJApAhwAMtVxAc5gVADtouMCnMGoANpFRwU4g1EBtJOOCnAGowJoJx0T4AxGBdBuOibAGYwKoN10RIAzGBVAO+qIAGcwKoB21PYBzmBUAO2q7QOcwagA2lXbB/jg4HaNb9wg2TUf4xs3aHBwW+pSAeA9afuhxgxGBdCu2r4DB4B2RYADQKYIcADIFAEOAJkiwAEgUwQ4AGSKAAeATBHgAJCpli7kefXVUW3bNtDKQwLvWanUrUsv/T2dcsoHUpdSCKOjI7r+i5fqju88qkWLPpy6HBzFEdGyg5VK3bFgwftbdjygHhMTE7Kl/v6/0+c+d526ujr7H9Wbb+3XvQ9u1h985o+1rv+W1OV0pHLZeyKiPH17QwFuu1/SDZJC0i8kXRcR/1tr/1KpFPPnn1L38YBWOHz4HUWE7C4tXfrr+vrX79T55/9m6rKSGB0d0aqrztfbj+zUySsv1/Z79tKFJ9D0ALd9pqSfSeqLiLds/4OkByPi+8f5nrBd1/GA1vGRrtu2SqVurVz5++rvv0ULF34ocW2tdfOt/dr+QWn8tlt10o39WvU/pgtP4EQF+L9JulDS65K2SdoYEQ/X+p7uUnecyiUUFNy7776rtw+Pq/KPZSiiEuTz5vXozjv/RcuWnZu6xJY40n3v21t5O+aREZ3cdwFdeAK1ArzuFzEj4iXb35T0gqS3JD08U3jbXiNpjSSdvnChtq7nfbdRbH940036wMmLVSp1q1TqVnd3t7q6SurqKml4+D87JsCPN0eWLrwY6g5w272SVkk6W9Krkv7R9tURcdfR+0XEJkmbJKnc1xe/c9FFDZQLnHjzTz5Z79hy9SFNPjrHkUlW+/ZO2T6+bq0e6LtAN1yzli68ABp5ef1ySc9FxMGIGJd0n6SPN6csACkxRzYPjQT4C5Iutt3jSptymaSh5pQFIBXmyOaj7gCPiMckbZX0uCq3EHapeqkEQL6YI5uPhlYoRMRfRcR5EXFBRFwTEW83qzAAaTBHNh9tPxMTwHvDHNl8dPYaYQDIGAEOAJkiwAEgUwQ4AGSKAAeATBHgAJApAhwAMkWAA0CmWMiDJBauWKGxQ4dm3a+3p0ev7NrVgoqA/BDgSGLs0CHNZZSI5xDyQKfiEgoAZIoAB4BMEeAAkCkCHAAyRYADQKYIcADIFAEOAJkiwAEgUwQ4kujt6ZGlWR+9PT3JagSKjpWYSILl8UDj6MABIFMEOABkigAHgEwR4ACQKQIcADJFgANApghwAMgUAQ4AmWIhT4swAxJoD6OjI7r+i5fqju88qkWLPpy0FjrwFpmcATnbYy4hDyCdgS3r9fJrBzSwZX3qUhoLcNun2d5q+2nbQ7Y/1qzCAKBoRkdH9MCOzYqdO/XAjs0aHd2ftJ5GO/DbJD0UEedJulDSUOMlAUAxDWxZr4nV10rLl2ti9erkXXjdAW77/ZJWSLpDkiLinYh4tVmFAUCRTHbf4+vWSpLG161N3oU30oGfI+mgpO/ZfsL2gO0F03eyvcb2btu7D46NNXA4AEjnSPe9ZEllw5IlybvwRgK8W9JHJd0eEcslvSlp3fSdImJTRJQjory4t7eBwwFAGtO770mpu/BGAnxY0nBEPFZ9vlWVQAeAtnJM9z0pcRded4BHxH5JL9o+t7rpMkn7mlIVABREre57UsouvNG7UL4k6W7b/y7pIkl/03hJAFAcNbvvSQm78IZWYkbEk5LKTaqlrfX29MhzXIkJoDgGB7drfPg5aeOGmvuMSxpcerbW9d/SusLEUvqWYXk8kKcfb3s2dQk1sZQeADJFgANApghwAMgUAQ4AmSLAASBTBDgAZIoAB4BMEeAAkKm2X8jDLErkqkizF1FMbd+BM4sSuSrS7EUUU9sHOJCjos1eRDER4EABFW32IoqJAAcKpoizF1FMBDhQMEWcvYhiIsCBAinq7EUUEwEOFEhRZy+imAhwoCCKPHsRxUSAAwVR5NmLKKa2D/Denh5ZmvXBLEqkNji4XeMbN0h2zcf4xg0aHNyWulQURNsvpWd5PHJR5NmLKKa278ABoF0R4ACQKQIcADJFgANApghwAMgUAQ4AmSLAASBTBDgAZIoAB5CF0dERrbryPN4L5igEOIAsMCP0WA0HuO2S7Sds/6gZBQHAdMwInVkzOvAbJQ014ecAwIyYETqzhgLc9lJJn5U00JxyAGAqZoTW1mgHvkHSWkkTtXawvcb2btu7D46NNXg4AJ2GGaG11R3gtq+QdCAi9hxvv4jYFBHliCgv7u2t93AAOhAzQo+vkQ78Ekmft/28pHskrbR9V1OqAgAxI3Q2dQd4RNwUEUsjYpmkqyQ9EhFXN60yAB2NGaGz4z5wAIXEjNDZNSXAI+LRiLiiGT8LACRmhM5F28/EBJAnZoTOjksoAJApAhwAMkWAA0CmCHAAyBQBDgCZIsABIFMEOABkigAHgEyxkKdFFq5YobFDh2bdr7enR6/s2tWCigDkjgBvkbFDhxRz2M9zCHkAkLiEAgDZIsABIFMEOABkigAHgEwR4ACQKQIcADJFgANApghwAMgUAd4ivT09sjTro7enJ1mNAPLCSswWYXk8gGajAweATNGBA9OcvnChnn7+JUWpS5Jl+8jXvv3tr2nHjs3pikPHueii3635NQIcmOahb31Lf3n77br93n/S4XcPHwnwiNDrr7+iZ555KnGF6CT7979Q82sEODDNqQsWaMNXv6o/vfJK3fCNb+jn+57WREyo8jKzNH/+vLQFoqPMm1f7xgYCHKjh3GXLtOu739X9g4P6k7/+W/3qrTdU6n6furr4s0HrdHWVan6N30TgOGxr1Sc+oeGLL9bNmzdr/Q9+oDd/9WbqstBBPthde0aAI+YyZqA5yn19sXvLlpYdDwDagcvlPRFRnr6d2wgBIFMEOABkimvgHYbhykD7qLsDt32W7Z/aHrK91/aNzSwMJ8bkcOXZHnMJeQBpNdKBH5b0lYh43PapkvbY/klE7GtSbQCA46i7A4+IkYh4vPr5G5KGJJ3ZrMIAAMfXlBcxbS+TtFzSY834eQCA2TUc4LZPkXSvpC9HxOszfH2N7d22dx8cG2v0cACAqoYC3PZJqoT33RFx30z7RMSmiChHRHlxb28jhwMAHKWRu1As6Q5JQxFxS/NKAgDMRSMd+CWSrpG00vaT1cdnmlQXAGAWdd9GGBE/0+T7awIAWo6l9B2G4cpA+2ApfYdheTzQPujAASBTBDgAZIoAB4BMEeAAkCkCHAAyRYADQKYIcADIFAEOAJliIQ+AKZibmg8CHMAUk3NTZ2PmpibHJRQAyBQBDgCZIsABIFMEOABkigAHgEwR4ACQKQIcADJFgANApghwAFMwNzUfrMQEMAXL4/NBBw4AmSLAASBTBDgAZIoAB4BMEeAAkCkCHAAyRYADQKYIcADIFAEOAJkiwAEgUw0FuO1P2f4P28/YXtesogAAs6s7wG2XJP29pE9L6pP0R7b7mlUYAOD4GunAf0vSMxHxbES8I+keSauaUxYAYDaNvBvhmZJePOr5sKTfnr6T7TWS1lSfvu1y+akGjtluFkkaTV1EgXA+jsU5mapTz8evzbSxkQD3DNvimA0RmyRtkiTbuyOi3MAx2wrnYyrOx7E4J1NxPqZq5BLKsKSzjnq+VNLLjZUDAJirRgL855I+Yvts2++TdJWk+5tTFgBgNnVfQomIw7b/XNI/SypJujMi9s7ybZvqPV6b4nxMxfk4FudkKs7HURxxzGVrAEAGWIkJAJkiwAEgUy0JcJbcT2X7LNs/tT1ke6/tG1PXVAS2S7afsP2j1LWkZvs021ttP139PflY6ppSs91f/Xt5yvYPbc9LXVNqJzzAWXI/o8OSvhIRvyHpYkl/xjmRJN0oaSh1EQVxm6SHIuI8SReqw8+L7TMl/YWkckRcoMqNE1elrSq9VnTgLLmfJiJGIuLx6udvqPLHeWbaqtKyvVTSZyUNpK4lNdvvl7RC0h2SFBHvRMSraasqhG5J8213S+oR605aEuAzLbnv6LA6mu1lkpZLeixtJcltkLRW0kTqQgrgHEkHJX2veklpwPaC1EWlFBEvSfqmpBckjUh6LSIeTltVeq0I8Dktue9Etk+RdK+kL0fE66nrScX2FZIORMSe1LUURLekj0q6PSKWS3pTUke/dmS7V5X/3M+WdIakBbavTltVeq0IcJbcz8D2SaqE990RcV/qehK7RNLnbT+vyiW2lbbvSltSUsOShiNi8r+yraoEeie7XNJzEXEwIsYl3Sfp44lrSq4VAc6S+2lsW5Xrm0MRcUvqelKLiJsiYmlELFPl9+ORiOjY7ioi9kt60fa51U2XSdqXsKQieEHSxbZ7qn8/l6nDX9iVGns3wjmpc8l9u7tE0jWSfmH7yeq2r0XEgwlrQrF8SdLd1abnWUnXJa4nqYh4zPZWSY+rchfXE2JZPUvpASBXrMQEgEwR4ACQKQIcADJFgANApghwAMgUAQ4AmSLAASBT/wcN/MHTwGdWYwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_model(features, labels, decision_tree)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Building a decision tree using entropy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decision_tree_entropy = DecisionTreeClassifier(criterion='entropy')\n",
    "decision_tree_entropy.fit(features, labels)\n",
    "decision_tree_entropy.score(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(decision_tree_entropy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_model(features, labels, decision_tree_entropy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Building a decision tree of depth one (a vertical or horizontal line)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "decision_tree_depth_1 = DecisionTreeClassifier(max_depth=1)\n",
    "decision_tree_depth_1.fit(features, labels)\n",
    "decision_tree_depth_1.score(features, labels)\n",
    "utils.plot_model(features, labels, decision_tree_depth_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(decision_tree_depth_1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
